1, tính nhanh.
d, 3/4 x 8/9 x 15/16 x 24/25 x 35/36
giúp mk với
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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
S=1-1/4+1-1/9+...+1-1/x2
S=(1+1+1+...+1)-(1/4+1/9+...+1/x2)
Có (1/4+1/9+...+1/x2)<1/(1.2)+1/(2.3)+...+1/(x-1)x=1-1/x<1
=> (1/4+1/9+...+1/x2) ko là số nguyên
=>S ko là số nguyên
![](https://rs.olm.vn/images/avt/0.png?1311)
= (8x15x24x35x...x99) / (9x16x25x36x...x100)
= (4x2x5x3x6x2x2x5x7x...x9x11) / (9x4x2x2x5x5x6x3x2x...x25x4)
= 11/(4x25)
= 11/100
Mình không chắc lắm
![](https://rs.olm.vn/images/avt/0.png?1311)
a,\(\frac{4}{3}\)x \(\frac{9}{8}\)x \(\frac{16}{15}\)x \(\frac{25}{24}\)
= \(\frac{5}{3}\)
b, \(\frac{4}{3}\)x \(\frac{9}{8}\)x \(\frac{16}{15}\)x \(\frac{25}{24}\)x \(\frac{36}{35}\)x \(\frac{49}{48}\)x \(\frac{64}{63}\)x \(\frac{81}{80}\)
= \(\frac{9}{5}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{3}{4}.\frac{8}{9}.\frac{15}{16}.\frac{24}{25}...\frac{63}{64}\)
\(=\frac{1.3}{2.2}.\frac{2.4}{3.3}.\frac{3.5}{4.4}.\frac{4.6}{5.5}...\frac{7.9}{8.8}\)
\(=\frac{1.3.2.4.3.5.4.6...7.9}{2.2.3.3.4.4.5.5...8.8}\)
\(=\frac{1.9}{2.8}=\frac{9}{16}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a.x+8=âm 17
x = - 17 - 8
x = -25
b. ( x - 7 ) + 13 = 25
( x - 7 ) = 25 - 13
( x - 7 ) = 12
x = 12 + 7
x = 19
![](https://rs.olm.vn/images/avt/0.png?1311)
B1
a.35*18-5*7*28
=35*18-35*28
=35*(-10)
=-350
b.24*(16-5)-16*(24-5)
=(24*16)-24*5-(16*24)-16*5
=384-24*5-384-16*5
=(384-384)-24*5-16*5
=0-24*5-16*5
=5*(-24-16)
=5*(-8)
=-40
c.29*(19-23)-19*(29-13)
=(29*19)-(19*29)*23-13
=(551-551)*23-13
=0*10
=0
d.34+35+36+37-14-15-16-17
=(34-14)+(35-15)+(36-16)+(37-17)
=20+20+20+20
=80
d.(3/4 x 8/9) x [(15/16 x 24/25) x35/36]
=2/3 x 7/8= 7/12
3/4 x 8/9 x 15/16 x 24/25 x 35/36
=(3/4 x 8/9) x 15/16 x (24/25 x 35/36)
=2/3 x 15/16 x 14/15
=2/3 x (15/16 x 14/15)
=2/3 x 7/8
=7/12